Results 31 to 40 of about 3,043,955 (244)

The existence of $\protect \mathbb{F}_q$-primitive points on curves using freeness

Comptes Rendus. Mathématique, 2022
Let $\mathcal{C}_Q$ be the cyclic group of order $Q$, $n$ a divisor of $Q$ and $r$ a divisor of $Q/n$. We introduce the set of $(r,n)$-free elements of $\mathcal{C}_Q$ and derive a lower bound for the number of elements $\theta \in \mathbb{F}_q$ for ...
Cohen, Stephen D., Kapetanakis, Giorgos, Reis, Lucas   +2 more
doaj   +1 more source

A note on some Picard curves over finite fields

, 2015
In this note we provide a complete classification for the Newton polygon of the Picard curvesy3=x4-xandy3=x4-1 defined over a finite field of characteristic p>3. In fact, we complete the results obtained in [19].
Tafazolian, Saeed, Kazemifard, Ahmad
core   +1 more source

Discrete logarithm problem in matrix

Lietuvos Matematikos Rinkinys, 2023
In this paper the discrete logarithm problem in matrix in finite fields is formulated, possible ways of solution are given.
Povilas Tvarijonas, Gediminas Simonas Dosinas, Eligijus Sakalauskas   +2 more
doaj   +3 more sources

Superregular Matrices over Finite Fields

Mathematics
A trivially zero minor of a matrix is a minor having all its terms in the Leibniz formula equal to zero. A matrix is superregular if all of its minors that are not trivially zero are nonzero.
Paulo Almeida, Miguel Beltrá, Diego Napp   +2 more
doaj   +1 more source

Distribution of constant terms of irreducible polynomials in ℤₚ[x] whose degree is a product of two distinct odd primes [PDF]

Notes on Number Theory and Discrete Mathematics
We obtain explicit formulas for the number of monic irreducible polynomials with prescribed constant term and degree q₁q₂ over a finite field, where q₁ and q₂ are distinct odd primes. These formulas are derived from work done by Yucas.
Sarah C. Cobb, Michelle L. Knox, Marcos Lopez, Terry McDonald, Patrick Mitchell   +4 more
doaj   +1 more source

A Small Subgroup Attack on Bitcoin Address Generation

Mathematics, 2020
We show how a small subgroup confinement-like attack may be mounted on the Bitcoin addresses generation protocol, by inspecting a special subgroup of the group associated to point multiplication.
Massimiliano Sala, Domenica Sogiorno, Daniele Taufer   +2 more
doaj   +1 more source

Pseudo-Chebyshev Functions Over Finite Fields

IEEE Open Journal of Circuits and Systems
In this paper, we introduce the notion of pseudo-Chebyshev functions over finite fields. In brief, such functions correspond to a generalization of the $n$ -th Chebyshev polynomial, where $n$ is not restricted to integer values, but can take on any ...
Juliano B. Lima, Daniel Panario, Jose R. de Oliveira Neto   +2 more
doaj   +1 more source

Two Families of Optimal Ternary Cyclic Codes With Two Zeros

IEEE Access, 2022
Cyclic codes are an important subclass of linear codes and have wide applications in consumer electronics, data storage systems and communication systems as they have efficient encoding and decoding algorithms.
Jinmei Fan, Binseng Wang
doaj   +1 more source

FINITE UNDECIDABILITY IN NIP FIELDS

The Journal of Symbolic Logic, 2023
AbstractA field K in a ring language $\mathcal {L}$ is finitely undecidable if $\mbox {Cons}(T)$ is undecidable for every nonempty finite $T \subseteq {\mathtt{Th}}(K; \mathcal {L})$ . We extend a construction of Ziegler and (among other results) use a first-order classification of Anscombe and Jahnke to prove every NIP henselian nontrivially ...
openaire   +1 more source

Calculation of Fourier-Galois transforms in reduced binary number systems [PDF]

Компьютерная оптика, 2018
The paper proposes a new method for calculating Fourier-Galois transforms (number-theoretical transforms), which are a modular analog of the discrete Fourier transform.
Vladimir Chernov
doaj   +1 more source